The L-ordered L-semihypergroups-Reference-Cited by-同舟云学术

The L-ordered L-semihypergroups

Published:2020-01-01 Issue:1 Volume:18 Page:552-571
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Su Shuhua¹,Liu Fuyao¹,Yang Shuqun²

Affiliation:

1. School of Mathematics, Physics and Statistics , Shanghai University of Engineering Science , Songjiang 201620 , Shanghai , China

2. School of Electronic and Electrical Engineering , Shanghai University of Engineering Science , Songjiang 201620 , Shanghai , China

Abstract

Abstract This study pursues an investigation on L-semihypergroups equipped with an L-order. First, the concept of L-ordered L-semihypergroups is introduced by L-posets and L-semihypergroups, and some related results are obtained. Then, prime, weakly prime, and semiprime L-hyperideals of L-ordered L-semihypergroups are studied. Moreover, the relationships among the three types of L-hyperideals are established. Finally, the intra-regular L-ordered L-semihypergroups are characterized in terms of these L-hyperideals. The results of the study show that some well-known results on ordered semihypergroups also hold in the case of L-ordered L-semihypergroups.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0148/pdf

Reference30 articles.

1. D. Heidari and B. Davvaz, On ordered hyperstructures, U. P. B. Sci. Bull. Series A 73 (2011), no. 2, 85–96.

2. T. Changphas and B. Davvaz, Properties of hyperideals in ordered semihypergroups, Italian J. Pure Appl. Math. 33 (2014), 425–432.

3. B. Davvaz, P. Corsini, and T. Changphas, Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder, European J. Combin. 44 (2015), 208–217, 10.1016/j.ejc.2014.08.006.

4. N. Kehayopulu, On ordered hypersemigroups with idempotent ideals, prime or weakly prime ideals, Eur. J. Pure Appl. Math. 11 (2018), no. 1, 10–22, 10.29020/nybg.ejpam.v11i1.3085.

5. B. Pibaljommee and B. Davvaz, Characterizations of (fuzzy) bi-hyperideals in ordered semihypergroups, J. Intell. Fuzzy Syst. 28 (2015), no. 5, 2141–2148, 10.3233/IFS-141494.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. ZL-Completions for ZL-Semigroups;Symmetry;2022-03-15